Consider a uniform rod of length L with an initial
Chapter 10, Problem 12(choose chapter or problem)
Consider a uniform rod of length L with an initial temperature given byu(x, 0) = sin(x/L), 0 x L. Assume that both ends of the bar are insulated.(a) Find the temperature u(x, t).(b) What is the steady state temperature as t ?(c) Let 2 = 1 and L = 40. Plot u versus x for several values of t. Also plot u versus t forseveral values of x.(d) Describe briefly how the temperature in the rod changes as time progresses.
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